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In my field of work, mathematical operators that live on reduced dimensions are customarily defined as the normal one with a slash through it. For example, the gradient is usually written as \nabla, and if we restrict the gradient to the surface of a sphere, we usually denote it by the same symbol with a slash through it.

One way to produce a similar effect is to (ab)use the \not command. But as it is really built for binary relations, the slashes that it produces looks weirdly off-centre when applied to objects that are not binary relations.

Is there a better way to get slashes through arbitrary symbols?

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There is a package to do this, appropriately called slashed.

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